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Finding the Fourth Proportional to 365,757.38, 504,745.93 and 204,615.12

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Solution

The fourth proportional to 365,757.38, 504,745.93 and 204,615.12 is: 282,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,757.38 : 504,745.93 = 204,615.12 : x
  2. Step 2: Convert to fraction form
    365,757.38/504,745.93 = 204,615.12/x
  3. Step 3: Cross multiply
    365,757.38x = 504,745.93 × 204,615.12
  4. Step 4: Simplify right side
    365,757.38x = 103,278,649,036.46
  5. Step 5: Solve for x
    x = 103,278,649,036.46/365,757.38
  6. Step 6: Final answer
    x = 282,369.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.